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Finding the Fourth Proportional to 416,705.83, 575,019.96 and 235,433.50

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Solution

The fourth proportional to 416,705.83, 575,019.96 and 235,433.50 is: 324,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,705.83 : 575,019.96 = 235,433.50 : x
  2. Step 2: Convert to fraction form
    416,705.83/575,019.96 = 235,433.50/x
  3. Step 3: Cross multiply
    416,705.83x = 575,019.96 × 235,433.50
  4. Step 4: Simplify right side
    416,705.83x = 135,378,961,752.66
  5. Step 5: Solve for x
    x = 135,378,961,752.66/416,705.83
  6. Step 6: Final answer
    x = 324,878.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.